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Finding the Third Proportional to 128,817 and 279,067.50

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Solution

The third proportional to 128,817 and 279,067.50 is: 604,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,817 : 279,067.50 = 279,067.50 : x
  2. Step 2: Convert to fraction form
    128,817/279,067.50 = 279,067.50/x
  3. Step 3: Cross multiply
    128,817x = 279,067.50 × 279,067.50
  4. Step 4: Simplify right side
    128,817x = 77,878,669,556.25
  5. Step 5: Solve for x
    x = 77,878,669,556.25/128,817
  6. Step 6: Final answer
    x = 604,568.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.